Until you are sure it is thawed, running the pump would not be a good idea. Removing a "P" trap (kitchen or bath sink), will tell you right away, if you have frozen pipes. If you have ice in the traps, you have it everywhere.
If your lines are frozen, running the furnace, with cabinet doors open, could take a couple days to thaw. Shore power and electric heaters, blowing into areas with plumbing lines, along with furnace heat, will speed that up. No shore power, maybe, you could bring a generator.
Other items that may help (depending on access to shore power):
Hair dryers
Disposable hand warmers (wrappped around the pump or "P" traps / outside shower)
Electric heat pads
Fastest thaw would be in a heated building.